What's the slope-intercept equation of line which is parallel to y = 2/5x-3 and passes through point (0,5)

A. y = -5/2x - 3

B. y = -5/2x + 5

C. y = 2/5x + 3

D. y = 2/5x + 5

Its D, but how do u figure that out? please explain step by step.

4 answers

y = 2/5x - 3
P (0,5)

parallel lines have equal slopes
slope intercept form of an equation
y = mx + b
m = slope, b = y-intercept

parallel to y = 2/5x - 3,
and through P(0, 5)
m = 2/5
y intercept = 5
so, the equation would be
D. y = 2/5x + 5
Thanks helper, i was confused on how they had gotten 5, but now i understand thanks to ur explanation:)
(Nm^3)^0
Write a​ slope-intercept equation for a line passing through the point ​(​6,3​) that is parallel to y=2/5x+3